Search a number
-
+
82127682411918 = 231121323718091081
BaseRepresentation
bin10010101011000111010111…
…010101100001110110001110
3101202210022220101200110001020
4102223013113111201312032
541231034443144140133
6450400534134455010
723204346350166243
oct2253072725416616
9352708811613036
1082127682411918
1124194177725900
129264a8a804466
1336a97b80a8600
14163d002bc35ca
159764e20820b3
hex4ab1d7561d8e

82127682411918 has 144 divisors (see below), whose sum is σ = 200785393227888. Its totient is φ = 22351891161600.

The previous prime is 82127682411833. The next prime is 82127682411959. The reversal of 82127682411918 is 81911428672128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4505863 + ... + 13585218.

It is an arithmetic number, because the mean of its divisors is an integer number (1394343008527).

Almost surely, 282127682411918 is an apocalyptic number.

82127682411918 is an abundant number, since it is smaller than the sum of its proper divisors (118657710815970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82127682411918 is a wasteful number, since it uses less digits than its factorization.

82127682411918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18091171 (or 18091147 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 60.

The spelling of 82127682411918 in words is "eighty-two trillion, one hundred twenty-seven billion, six hundred eighty-two million, four hundred eleven thousand, nine hundred eighteen".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 121 143 169 222 242 286 338 363 407 429 481 507 726 814 858 962 1014 1221 1443 1573 1859 2442 2886 3146 3718 4477 4719 5291 5577 6253 8954 9438 10582 11154 12506 13431 15873 18759 20449 26862 31746 37518 40898 58201 61347 68783 116402 122694 137566 174603 206349 349206 412698 756613 1513226 2269839 4539678 18091081 36182162 54273243 108546486 199001891 235184053 398003782 470368106 597005673 669369997 705552159 1194011346 1338739994 1411104318 2008109991 2189020801 2587024583 3057392689 4016219982 4378041602 5174049166 6114785378 6567062403 7363069967 7761073749 8701809961 9172178067 13134124806 14726139934 15522147498 17403619922 18344356134 22089209901 26105429883 28457270413 33631319579 44178419802 52210859766 56914540826 67262639158 80993769637 85371811239 95719909571 100893958737 113123529493 161987539274 170743622478 191439819142 201787917474 226247058986 242981308911 287159728713 339370588479 369944515369 485962617822 574319457426 678741176958 739889030738 1052919005281 1109833546107 1244358824423 2105838010562 2219667092214 2488717648846 3158757015843 3733076473269 6317514031686 7466152946538 13687947068653 27375894137306 41063841205959 82127682411918